Second order equations with constant coefficientsAQA A-Level Further Maths: Mind map

Exam questions on Second order equations with constant coefficients

1. $\frac{d^2y}{dx^2}-5\frac{dy}{dx}+6y=0$.
   Find the particular solution for which $y=1$ and $\frac{dy}{dx}=0$ when $x=0$.2 marks
2. $\frac{d^2y}{dx^2}+4\frac{dy}{dx}+4y=0$.
   Find the particular solution for which $y=2$ and $\frac{dy}{dx}=0$ when $x=0$.2 marks
3. $\frac{d^2y}{dx^2}+2\frac{dy}{dx}+5y=0$.
   Find the general solution.3 marks